Mathematics Grade 7

1. Welcome to your
Mathematics Class
Grade 7
Teacher: Mrs. Susan b. Palacio

2. Dear Lord and Father of all,
✗ Thank you for today.
✗ Thank you for ways in which you provide for us all.
✗ For Your protection and love we thank you. Help us
to focus our hearts and minds now on what we are
about to learn.
✗ Inspire us by Your Holy Spirit as we listen and write.
✗ Guide us by your eternal light as we discover more
about the world around us.
✗ We ask all this in the name of Jesus.
✗ Amen.
2

3. 1.Be on time.
2.Always turn on your
camera.
3.Unmute your audio
when called by your
teacher.
3
4.Do have your module,
notebook and pen.
5.Questions will be
entertained after a
discussed topic.
6.Be attentive and enjoy
learning.

4. ATTENDANCE
1

5. MATH 7- QUARTER 1 -
DAY 3
set OPERATIONS
5

6. Looking Back at your Lesson
✗ From the previous module, you have learned that a set is a well-
defined group of objects, called elements, which share a common
characteristic. The different set operations are:
✗ 1. Union of Sets: The union of the sets A and B,
denoted by A∪B, is the set that contains those
elements that belong to A, B, or to both.
✗ 2. Intersection of Sets: The intersection of the sets A
and B, denoted by A∩B, is the set containing those
elements that belong to both A and B.
6

7. Looking Back at your Lesson
✗ From the previous module, you have learned that a set is a well-
defined group of objects, called elements, which share a common
characteristic. The different set operations are:
✗ 3. Complement of a Set: The complement of a set A,
written as A’, is the set of all elements found in the
universal set, U, that are not found in set A.
✗ 4. Difference of Sets: The difference of two sets,
written as A – B, is the set of all elements of A that are
not elements of B.
7

8. Looking Back at your Lesson
✗ Given: U = { a, b, c, d, e, f, g, h, i, j } , M = { a, b, c, d, e },
N = { i, g, h}, A = { a, c, e, h, i, j }
✗ Which elements match each set?
✗ 1. A ∪ M
✗ 2. A ∩ M
✗ 3. M’
✗ 4. M – N
✗ 5. N – M
8

9. Lesson 1:
Venn Diagram

10. Venn Diagram Defined
A Venn Diagram refers to the diagram that shows the relationship
between and among sets of objects. It was first introduced by the
mathematician John Venn in 1880s.
This diagram enables you to organize information visually so that
you can see the relationships between two or three sets of items.
You can then identify similarities and differences. You can also
determine what elements are in a set and what elements do not
belong to the set.
A Venn diagram consists of two or more overlapping closed
curves, usually circles, each representing a set.
10

11. Visualizing the different regions in a Venn diagram
The idea of the Venn Diagram is simple: sets are
shown as regions.
The inside of the circle represents elements of a
set, the outside contains anything that is not in
that set. Shown on the right is an example of a
Venn Diagram. By convention, capital letters are
used to denote sets. If you happen to see small
letters, consider these small letters as elements.
Braces,{ }, denote a list of elements in a set.
11

12. Venn Diagram
Set Notation
1. Set A
Venn Diagram
Explanation
This set includes the elements common to
both A and B and the elements only in A.
12

13. Venn Diagram
Set Notation
2. Set B
Venn Diagram
Explanation
This set includes the elements common to
both A and B and the elements only in B.
13

14. Venn Diagram
Set Notation
3. A∩B
Venn Diagram
Explanation
This set contains elements that are common
to both A and B.
14

15. Venn Diagram
Set Notation
4. A – B
Venn Diagram
Explanation
This set contains elements of A that are not
elements of B.
15

16. Venn Diagram
Set Notation
5. B – A
Venn Diagram
Explanation
This set contains elements of B that are not
elements of A.
16

17. Venn Diagram
Set Notation
6. A∪B
Venn Diagram
Explanation
This set contains elements that belong to A,
B, or to both.
17

18. Venn Diagram
Set Notation
7. A’
Venn Diagram
Explanation
This set contains elements of the Universal
Set that are not in Set A.
18

19. EXAMPLE # 1: Given the Venn diagram below,
find the elements of the following:
1. Set P
Answer: P = {3, 6, 9}. The
elements that you can find in
P are 3, 6, and 9.
2. Set Q
Answer: Q = {2, 4, 6, 8}. The
elements that you can find in
Q are 2, 4, 6, and 8.
19

20. Given the Venn diagram below, find the elements
of the following:
3. P∩Q
Answer: P∩Q = {6}. This is
because 6 is the element
common to both P and Q.
4. P – Q
Answer: P – Q = {3, 9}. This is
because 3 and 9 are the
elements of P that are not in Q.
20

21. Given the Venn diagram below, find the elements
of the following:
5. Q – P
Answer: Q – P = {2, 4, 8}. This
is because 2, 4, and 8 are
elements of Q that are not in P.
6. P∪Q
Answer: P∪Q = {2, 3, 4, 6, 8, 9}.
This set contains elements in P,
Q, or both P and Q.
21

22. Given the Venn diagram below, find the elements
of the following:
7. P’
Answer: P’ = {0, 1, 2, 4, 5, 7, 8}.
This set contains elements of
the universal set which are not
in P.
22

23. DRILL: Given the Venn diagram below, find the
elements of the following:
1. Set A
Answer: A = {1, 3, 5, 7, 9, 11}
2. Set B
Answer: B = {2, 3, 5, 7, 11}
3. A∩B
Answer: A∩B = {3, 5, 7, 11}
23

24. DRILL: Given the Venn diagram below, find the
elements of the following:
4. A – B
Answer: A – B = {1, 9}
5. B – A
Answer: B – A = {2}
6. A∪B
Answer: A∪B = {1, 2, 3, 5, 7, 9,
11}
24

25. DRILL: Given the Venn diagram below, find the
elements of the following:
7. A’
Answer: A’ = {2, 4, 6, 8, 10}
25

26. 26